A) A sample of methane gas collected at a pressure of 0.995 atm and a temperatur

Question

A) A sample of methane gas collected at a pressure of 0.995 atm and a temperature of 21.0 °C is found to occupy a volume of 22.0liters. How many moles of CH4 gas are in the sample? _________mol

B) 0.975 mol sample of oxygen gas at a temperature of 11.0 °C is found to occupy a volume of 26.4 liters. The pressure of this gas sample is_____________ mm Hg.

C)A sample of methane gas collected at a pressure of 395 mm Hg and a temperature of 305 K has a mass of 9.80 grams. The volume of the sample is ____________ L.

Explanation / Answer

Ideal gas equation is PV= nRT

A) n = PV/RT

= [0.995 atm x 22 L] / [0.0821 L.atm/K/mol x 294 K]

= 0.9 moles

Therefore,

no of moles of CH4 gas are in the sample = 0.9 moles

B) P = nRT/V

= 0.975 mol x 0.0821 L.atm/K/mol x 284 K/ 26.4 L

= 0.86 atm

Therefore,

pressure of gas = 0.86 atm = 0.86 x 760 mmHg = 654.4 mmHg

C)

pressure = 395/ 760 atm = 0.52 atm

V = nRT/P

= (m/M) (RT/P) n = no of moles = mass m / molar mass M

= (9.8 g / 16 g/mol) (0.0821 L.atm/K/mol x 305 K / 0.52 atm)

= 29.5 L

Therefore,

volume of the sample = 29.5 L

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